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The slope of an inverse relationship

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What is the sum of a fractional number and its additive inverse?

0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.


What is the matrix that if you multiplied by the original matrix you would get the identity matrix?

The matrix that, when multiplied by the original matrix, yields the identity matrix is known as the inverse matrix. For a given square matrix ( A ), its inverse is denoted as ( A^{-1} ). The relationship is expressed as ( A \times A^{-1} = I ), where ( I ) is the identity matrix. Not all matrices have inverses; a matrix must be square and have a non-zero determinant to possess an inverse.


How are slopes related for perpendicular lines?

For two lines to be perpendicular, the product of their slopes must equal -1. If one line has a slope of ( m_1 ), the slope of the line perpendicular to it, ( m_2 ), can be found using the relationship ( m_1 \cdot m_2 = -1 ). This means that if you know the slope of one line, you can find the slope of the perpendicular line by taking the negative reciprocal of that slope. Thus, if ( m_1 ) is not zero, ( m_2 = -\frac{1}{m_1} ).


If the slope is -3 what is the slope of the other line?

if there parallel its -3 but if there perpendicular the other lane must be positive:D


What are the formulas of the equation of the line?

Standard: Ax+By=C (A must be positive; A, B, and C must be integers) Point-slope: y-h=m(x-k) ((k,h) is a point on the line, m is the slope) slope-intercept: y=mx+b (m is the slope, b is the y-intercept)

Related Questions

Can two lines with positive slopes be parallel?

yes they can be parallel because for a pair of lines to be parallel the slope must be the same no matter if the slope is positive or negative.


What changes the slope parameter in y mx would result in a graph with positive correlation?

y=mx+[1] The number in the [] must be positive


Why negative numbers don't have logarithim?

The logarithmic function is not defined for zero or negative numbers. Logarithms are the inverse of the exponential function for a positive base. Any exponent of a positive base must be positive. So the range of any exponential function is the positive real line. Consequently the domain of the the inverse function - the logarithm - is the positive real line. That is, logarithms are not defined for zero or negative numbers. (Wait until you get to complex analysis, though!)


What are inverse numbers?

An inverse, without any qualification, is taken to be the multiplicative inverse. is The inverse of a number, x (x not 0), is 1 divided by x. Any number multiplied by its inverse must be equal to 1. There is also an additive inverse. For any number y, the additive inverse is -y. And the sum of the two must always be 0.


What is the additive inverse of -391?

391 A number and its additive inverse must equal zero.


What are inversions?

An inverse, without any qualification, is taken to be the multiplicative inverse. is The inverse of a number, x (x not 0), is 1 divided by x. Any number multiplied by its inverse must be equal to 1. There is also an additive inverse. For any number y, the additive inverse is -y. And the sum of the two must always be 0.


What is the sum of a fractional number and its additive inverse?

0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.


If the period of a wave decreases its frequency must?

Period and frequency are inverse to each other, as period increases frequency decreases. So, to answer this question as the period of the wave decreases its frequency must increase.


How can you tell from a linear equation which direction it goes without graphing the equation?

You must find the slope, if it is positive, then the line is always increasing. If it is negative, then the line is always decreasing.


How are slopes related for perpendicular lines?

For two lines to be perpendicular, the product of their slopes must equal -1. If one line has a slope of ( m_1 ), the slope of the line perpendicular to it, ( m_2 ), can be found using the relationship ( m_1 \cdot m_2 = -1 ). This means that if you know the slope of one line, you can find the slope of the perpendicular line by taking the negative reciprocal of that slope. Thus, if ( m_1 ) is not zero, ( m_2 = -\frac{1}{m_1} ).


What is an inverse relationship between x and y?

That depends on the original relation. For any relation y = f(x) the domain is all acceptable values of x and the range, y, is all answers of the function. The inverse relation would take all y values of the original function, what was the range, and these become the domain for the inverse, these must produce answers which are a new range for this inverse, which must match the original domain. IE: the domain becomes the range and the range becomes the domain. Ex: y = x2 is the original relation the inverse is y = =/- square root x Rules to find the inverse are simple substitute x = y and y = x in the original and solve for the new y. The notation is the original relation if y = f(x) but the inverse is denoted as y = f -1(x), (the -1 is not used as an exponent, but is read as the word inverse)


What is PIV in electronics?

The Peak inverse voltage (PIV) equals the peak value of the input voltage, and the diode must be capable of withstanding this amount of repetition reverse voltage. For the diode in figure, the maximum value of reverse voltage, designated as PIV, occurs at peak of each positive alternation of the input voltage when the diode is forward biased.Peak Inverse Voltage at Positive Half CycleThe Peak Inverse Voltage (PIV) occurs at the peak of each half-cycle of the input voltage when the diode is forward biased . In this circuit, the PIV occurs at the peak of each positive half cycle.